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%I #11 Apr 25 2023 15:36:32
%S 13,20,32,51,81,128,201,316,497,781,1227,1927,3026,4752,7462,11717,
%T 18398,28888,45359,71221,111828,175587,275698,432887,679697,1067225,
%U 1675701,2631098,4131212,6486612,10184937,15991852,25109564,39425715,61904181
%N Number of binary strings of length n with no substrings equal to 0001 0101 or 0110.
%H R. H. Hardin, <a href="/A164469/b164469.txt">Table of n, a(n) for n=4..500</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1,-1,1,-1).
%F G.f.: -x^4*(-13+6*x-5*x^2+6*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5+x^3+x-1) ). - _R. J. Mathar_, Jan 19 2011
%F a(n) = 2*a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6). - _Wesley Ivan Hurt_, Apr 25 2023
%K nonn
%O 4,1
%A _R. H. Hardin_, Aug 14 2009
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